Using a Formula to Find Volume

5.MD.C.5

To find the volume of a rectangular prism, we can use this formula: Volume = length x width x height.

Volume = length x width x height

Using a Formula to Find Volume

52

5 5 × 2 × 5 = 50

We can find the volume of a rectangular prism by multiplying its length by its width by its height.How many cubes can we count across the front of the prism?5 — the length of this prism is 5.How many cubes are along this edge?2 — the width of the prism is 2.How many cubes high is the prism?5 — the height of the prism is 5.To find the number of unit cubes, we can multiply the length by the width by the height.What is 5 x 2 x 5?50

50 cubic units

So, the volume of this prism is 50 cubic units.

Using a Formula to Find Volume

42

4 4 × 2 × 4 = 32

This prism has a length of 4 …… a width of 2 …… and a height of 4.We can find the volume by multiplying the length by the width by the height.What is 4 x 2 x 4 equal to?32So, this prism has a volume of 32 cubic units.

32 cubic units

Using a Formula to Find Volume

33

6 3 × 3 × 6 = 54

This prism has a length of 3 …… a width of 3 …… and a height of 6.We can find the volume by multiplying the length by the width by the height.What is 3 x 3 x 6 equal to?So, this prism has a volume of 54 cubic units.

54 cubic units

54

Using a Formula to Find Volume

3 cm2 cm

4 cm

3 × 2 × 4 = 24

24 cubic centimeters

Here is a rectangular prism. We won’t see unit cubes, but we know its length, width, and height.The length is 3 cm …… the width is 2 cm ...… and the height is 4 cm.What is 3 x 2 x 4?24So, the volume of this prism is 24 cubic centimeters.

Using a Formula to Find Volume

8 m2 m

5 m 8 × 2 × 5 = 80

80 cubic meters

Here is a rectangular prism. We will use its length, width, and height to determine its volume.The length is 8 meters …… the width is 2 meters ...… and the height is 5 meters.What is 8 x 2 x 5?80So, the volume of this prism is 80 cubic meters.

Using a Formula to Find Volume

3 ft3 ft

8 ft 3 × 3 × 8 = 72

72 cubic feet

Here is a rectangular prism. We will use its length, width, and height to determine its volume.The length is 3 feet …… the width is 3 feet ...… and the height is 8 feet.What is 3 x 3 x 8?72So, the volume of this prism is 72 cubic feet.

Using a Formula to Find Volume

5 in.2 in.

12 in.5 × 2 × 12 = 120

120 cubic inches

Here is a rectangular prism. We will use its length, width, and height to determine its volume.The length is 5 inches …… the width is 2 inches ...… and the height is 12 inches.What is 5 x 2 x 12?120So, the volume of this prism is 120 cubic inches.

Using a Formula to Find Volume

6 m3 m

4 m 6 × 3 × 4 = 72

72 cubic meters

Here is a rectangular prism. We will use its length, width, and height to determine its volume.The length is 6 meters …… the width is 3 meters ...… and the height is 4 meters.What is 6 x 3 x 4?72So, the volume of this prism is 72 cubic meters.

Using a Formula to Find Volume

4 ft

8 ft

2 ft

Here is another rectangular prism. We see measurements of its length, width, and height.To find the volume, we multiply the length …… by the width …… by the height.

4 × 8 × 2 = 64

What is 4 x 8 x 2?64So, the volume of this prism is 64 cubic feet.

64 cubic feet

Using a Formula to Find Volume

7 km

3 km

3 km

Let’s find the volume of this prism.To find the volume, we multiply the length …… by the width …… by the height.

7 × 3 × 3 = 63

What is 7 x 3 x 3?63So, the volume of this prism is 63 cubic kilometers.

63 cubic kilometers

Using a Formula to Find Volume

2 m2 m

2 m

This is a cube.

This is a cube.That means that the length, the width, and the height are all the same.

2 × 2 × 2 = 8

What is 2 x 2 x 2?8So, the volume of this prism is 8 cubic meters.

8 cubic meters

So, if the length is 2 meters, the width must be 2 meters …… and the height must be 2 meters.

Using a Formula to Find Volume

Lightning Round

Using a Formula to Find Volume

8 m2 m

5 m

What is the volume of the prism?

80 cubic meters

Using a Formula to Find Volume

4 in.

11 in.

2 in.

88 cubic inches

What is the volume of the prism?

Using a Formula to Find Volume

3 m3 m

3 m

27 cubic meters

What is the volume of the cube?

Using a Formula to Find Volume

Closing Question

Using a Formula to Find Volume

5 cm5 cm

10 cm

250 cubic cm

What is the volume of the prism?

Using a Formula to Find Volume